GCF of 2723/272, 7731/9416
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2723/272, 7731/9416 i.e 1/320144 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2723/272, 7731/9416.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
What is the GCF of 2723/272,7731/9416?
Given fractions are 2723/272,7731/9416
To find the GCF of fractions, we have to find the GCF of numerator numbers and LCM of denominator numbers. Its formula is given by
GCF of Fraction = Greatest Common Factor of Numerator/Least Common Multiple of Denominators
In the fractions 2723/272,7731/9416, numerators are 2723,7731
Denominators are 272,9416
The GCF of 2723,7731 is 1 .
LCM of 272,9416 is 320144.
The greatest common factor of 2723/272,7731/9416 = [GCF of 2723,7731]/[LCM of 272,9416]= 1/320144
Therefore, the GCF of 2723/272,7731/9416 is 1/320144.
To find the highest common factor of 2723,7731, we have to find the factors of both numbers and list the highest common factor.
The factors of 2723 are 1, 7, 389, 2723
The factors of 7731 are 1, 3, 9, 859, 2577, 7731
The HCF of 2723,7731 is 1.
Lets's calculate GCF of 2723,7731
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 2723,7731 By Matching Biggest Common Factor Method
Now, list down the factors of 2723
:1,7,389,2723
Now, list down the factors of 7731
:1,3,9,859,2577,7731
Greatest Common Factor
We found the factors 2723,7731 . The biggest common factor number is the GCF number.
So the greatest common factor 2723,7731 is 1.
Lets's calculate LCM of 272,9416
| 2 | 272, 9416 |
| 2 | 136, 4708 |
| 2 | 68, 2354 |
| 34, 1177 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 34 x 1177 = 320144
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/320144
Therefore, the GCF of Fractions 2723/272,7731/9416 is 1/320144
Least Common Multiple of 272,9416 with GCF Formula
The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).
We need to calculate greatest common factor of 272,9416 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(272,9416) = 8
common factors(in case of two or more numbers have common factors) = 1
GCF(272,9416) x common factors =8 x 1 = 8
LCM(272,9416) = ( 272 × 9416 ) / 8
LCM(272,9416) = 2561152 / 8
LCM(272,9416) = 320144
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FAQs on GCF of Fractions of 2723/272, 7731/9416
1. What is the HCF of 2723,7731?
The HCF of 2723,7731 is 1
2. What is the GCF of a fraction?
The GCF of a fraction is defined as the greatest fraction that divides exactly into 2 or more fractions.
3. How to find GCF in Fractions?
Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.
4. What is the GCF of Fractions for 2723/272, 7731/9416?
Answer: GCF of Numerators as per given numbers 2723/272, 7731/9416 is
GCF of Numerators i.e. for 2723,7731 is 1
LCM of denominators i.e. for 272,9416 is 320144.
Thus, GCF of Fractions is 1/320144.Finally, GCF of Fractions for 2723/272, 7731/9416 is 1/320144.